In Continuous Wavelet Transform (CWT) To achieve energy normalization and to ensure that all wavelets have the same energy regardless of their scales, each wavelet is divided by the square root of the the scale S.
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It's only one of the normalization schemes, and a very poor one for most purposes - see under "L2 norm" here. Contrary to its name, it does not energy norm the transform in sense of conserving input's energy. – OverLordGoldDragon Mar 24 '23 at 13:53
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@OverLordGoldDragon, Why don't you write it as an answer? – Royi Jul 06 '23 at 21:29